Extension de la torsion analytique holomorphe aux fibrés en droites intégrables

2013/01/09 by Hajli, Mounir
#Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1301.1796

Abstract

Let X be a compact Kähler manifold. We extend the notion of Quillen metric to the set of integrable line bundles on X. In particular, we prove that the notion of holomorphic analytic torsion extends to integrable line bundles L, such that H^q(X,L)=0 for q≥ 1.

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